Calculus One by Roman Holowinsky, Johann Thiel, David Lindberg
Calculus One - Table of Contents
0. Functions
1. Limits
2. Infinity and Continuity
3. Basics of Derivatives
4. Curve Sketching
5. The Product Rule and the Quotient Rule
6. The Chain Rule
7. Derivatives of Trigonometric Functions and Their Inverses
8. Applications of Differentiation
9. Optimization
10. Linear Approximation
11. Antiderivatives
12. Integrals
13. The Fundamental Theorem of Calculus
14. Techniques of Integration
15. Applications of Integration
What You Will Learn in Calculus One
"Calculus One" by "Roman Holowinsky", "Johann Thiel", and "David Lindberg" is an open-access textbook designed to introduce students to "calculus" in a clear and approachable way. It is ideal for beginners or anyone revisiting foundational concepts. The book emphasizes understanding core ideas such as "limits", "derivatives", and "integrals", helping students develop strong problem-solving skills and mathematical reasoning.
The text covers essential topics for a first calculus course, including limits and continuity, curve sketching, derivative rules (product, quotient, and chain rules), optimization, linear approximations, and integration techniques. Each concept is presented with clear explanations, worked examples, and exercises to reinforce learning. By focusing on practice and application, the book ensures students can confidently solve problems and apply calculus to real-world scenarios.
Published under a "Creative Commons license", "Calculus One" is freely available online in digital formats, making it accessible for self-study or classroom use. Its structured approach and emphasis on "mathematical application" allow learners to build a solid foundation for future studies in mathematics, science, and engineering. Overall, the book balances theory and practice, making complex calculus topics intuitive, engaging, and applicable to practical problem-solving situations.
Book Details & Specifications
Title:
Calculus One by Roman Holowinsky, Johann Thiel, David Lindberg
Publisher:
Mooculus
Year:
2014
Pages:
258
Type:
PDF
Language:
English
ISBN-10 #:
0471000051
ISBN-13 #:
978-0471000051
License:
CC BY-NC-SA 3.0
Amazon:
Amazon
About the Author: Roman Holowinsky, Johann Thiel and David Lindberg
The author Roman Holowinsky, Johann Thiel and David Lindberg
are mathematicians and co-authors of "Calculus One", an introductory text for first-year university students. The book teaches core "calculus" concepts such as limits, derivatives, integrals, and the Fundamental Theorem of Calculus, providing clear explanations and conceptual depth to support strong understanding.
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